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2274150042000 = 243253126341669
BaseRepresentation
bin100001000101111101111…
…001111100100110010000
322001101222102111221201100
4201011331321330212100
5244224424402321000
64500421411504400
7323205362261364
oct41057571744620
98041872457640
102274150042000
117a7509459031
123088b42b8100
131365b3a34635
147c0d87d72a4
153e251074a00
hex2117de7c990

2274150042000 has 120 divisors (see below), whose sum is σ = 7942848109560. Its totient is φ = 606440006400.

The previous prime is 2274150041993. The next prime is 2274150042037. The reversal of 2274150042000 is 2400514722.

2274150042000 is a `hidden beast` number, since 22 + 74 + 150 + 0 + 420 + 0 + 0 = 666.

2274150042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1376706816 + 2272773335184 = 37104^2 + 1507572^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63152835 + ... + 63188834.

It is an arithmetic number, because the mean of its divisors is an integer number (66190400913).

Almost surely, 22274150042000 is an apocalyptic number.

2274150042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2274150042000 is an abundant number, since it is smaller than the sum of its proper divisors (5668698067560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2274150042000 is a wasteful number, since it uses less digits than its factorization.

2274150042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126341698 (or 126341679 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 2274150042000 its reverse (2400514722), we get a palindrome (2276550556722).

The spelling of 2274150042000 in words is "two trillion, two hundred seventy-four billion, one hundred fifty million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 126341669 252683338 379025007 505366676 631708345 758050014 1010733352 1137075021 1263416690 1516100028 1895125035 2021466704 2274150042 2526833380 3032200056 3158541725 3790250070 4548300084 5053666760 5685375105 6064400112 6317083450 7580500140 9096600168 9475625175 10107333520 11370750210 12634166900 15161000280 15792708625 18193200336 18951250350 22741500420 25268333800 28426875525 30322000560 31585417250 37902500700 45483000840 47378125875 50536667600 56853751050 63170834500 75805001400 90966001680 94756251750 113707502100 126341669000 142134377625 151610002800 189512503500 227415004200 252683338000 284268755250 379025007000 454830008400 568537510500 758050014000 1137075021000 2274150042000